Mathematical Logic And Boolean Algebra Question 112
Question: Negation of the proposition: If we control population growth, we prosper
Options:
A) If we do not control population growth, we prosper
B) It we control population growth, we do not prosper
C) We control population but we do not prosper
D) We do not control population, but we prosper
Show Answer
Answer:
Correct Answer: C
Solution:
p : we control population, q : we prosper. \ we have $ p\Rightarrow q $ Its negation is $ \tilde{\ }(p\Rightarrow q) $ i.e. $ p\ \wedge \tilde{\ }q $
i.e. we control population but we do not prosper.